Answer: 2
Step-by-step explanation:
3x+4y=10
3x+4(x-1)=10
3x+4x-4=10
7x-4=10
Add 4 to both sides
7x=14
x=2
Y-intercept of f(x) is a value of function for x = 0.
y = 6^x ⇒ f(x) = 6^x
f(0) = 6^0 = 1
Answer: (0; 1)
Answer:
Step-by-step explanation:
Let the time taken by the john to get to his uncle be x.
Let the time taken by the john to get back from his uncle be y.
So,
x+y=12 ------ equation 1
According to the given velocities:
20x=30y
x=3/2y
Put the value x=3/2y in equation 1
3/2y+y =12
3y+2y/2=12
3y+2y=12*2
5y=24
y=24/5
y=4.8h
Now put the value of y in x=3/2y
x=3/2*4.8
x=14.4/2
x=7.2h ....
Answer:
43.35 years
why?
From the above question, we are to find Time t for compound interest
The formula is given as :
t = ln(A/P) / n[ln(1 + r/n)]
A = $2500
P = Principal = $200
R = 6%
n = Compounding frequency = 1
First, convert R as a percent to r as a decimal
r = R/100
r = 6/100
r = 0.06 per year,
Then, solve the equation for t
t = ln(A/P) / n[ln(1 + r/n)]
t = ln(2,500.00/200.00) / ( 1 × [ln(1 + 0.06/1)] )
t = ln(2,500.00/200.00) / ( 1 × [ln(1 + 0.06)] )
t = 43.346 years
(credit to VmariaS)
